research
∙
09/15/2023
Low-rank Tensor Train Decomposition Using TensorSketch
Tensor train decomposition is one of the most powerful approaches for pr...
share
research
∙
08/03/2023
A Randomized Block Krylov Method for Tensor Train Approximation
Tensor train decomposition is a powerful tool for dealing with high-dime...
research
∙
04/10/2023
A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix
In this paper, we first study the projections onto the set of unit dual ...
research
∙
01/27/2023
Practical Sketching Algorithms for Low-Rank Tucker Approximation of Large Tensors
Low-rank approximation of tensors has been widely used in high-dimension...
research
∙
01/09/2023
Motion Addition and Motion Optimization
We introduce rotation addition and motion addition. In this way, motions...
research
∙
09/16/2022
A regularization-patching dual quaternion optimization method for solving the hand-eye calibration problem
The hand-eye calibration problem is an important application problem in ...
research
∙
06/29/2022
Standard Dual Quaternion Optimization and Its Application in Hand-Eye Calibration
Several common dual quaternion functions, such as the power function, th...
research
∙
05/05/2022
Multi-mode Tensor Train Factorization with Spatial-spectral Regularization for Remote Sensing Images Recovery
Tensor train (TT) factorization and corresponding TT rank, which can wel...
research
∙
03/07/2022
Minimax principle for right eigenvalues of dual quaternion matrices and their generalized inverses
Dual quaternions can represent rigid body motion in 3D spaces, and have ...
research
∙
01/30/2022
Low Rank Approximation of Dual Complex Matrices
Dual complex numbers can represent rigid body motion in 2D spaces. Dual ...
research
∙
10/18/2021
A DCT-based Tensor Completion Approach for Recovering Color Images and Videos from Highly Undersampled Data
Recovering color images and videos from highly undersampled data is a fu...
research
∙
05/03/2021
Tubal Matrix Analysis
One of the early ideas started from the 2004 workshop is to regard third...
research
∙
04/12/2021
ST-SVD Factorization and s-Diagonal Tensors
A third order real tensor is mapped to a special f-diagonal tensor by go...
research
∙
03/29/2021
An Orthogonal Equivalence Theorem for Third Order Tensors
In 2011, Kilmer and Martin proposed tensor singular value decomposition ...
research
∙
03/01/2021
T-Singular Values and T-Sketching for Third Order Tensors
Based upon the T-SVD (tensor SVD) of third order tensors, introduced by ...
research
∙
10/01/2020
Low-Rank and Sparse Enhanced Tucker Decomposition for Tensor Completion
Tensor completion refers to the task of estimating the missing data from...
research
∙
05/20/2020
A Parallelizable Method for Missing Internet Traffic Tensor Data
Recovery of internet network traffic data from incomplete observed data ...
research
∙
05/20/2020
A Parallelizable Optimization Method for Missing Internet Traffic Tensor Data
Recovery of internet network traffic data from incomplete observed data ...
research
∙
04/22/2020
A Tensor Rank Theory and Maximum Full Rank Subtensors
A matrix always has a full rank submatrix such that the rank of this mat...
research
∙
04/22/2020
A Tensor Rank Theory, Full Rank Tensors and The Sub-Full-Rank Property
A matrix always has a full rank submatrix such that the rank of this mat...
research
∙
04/22/2020
A Tensor Rank Theory, Full-Rank Tensors and Base Subtensors
A matrix always has a full-rank submatrix such that the rank of this mat...
research
∙
04/22/2020
A Tensor Rank Theory and The Sub-Full-Rank Property
One fundamental property in matrix theory is that the rank of a matrix i...
research
∙
04/22/2020
A Unified Theory for Tensor Ranks and its Application
In this paper, we present a unified theory for tensor ranks such that th...
research
∙
02/06/2020
Triple Decomposition and Tensor Recovery of Third Order Tensors
In this paper, we introduce a new tensor decomposition for third order t...
research
∙
02/06/2020
Low Rank Triple Decomposition and Tensor Recovery
A simple approach for matrix completion and recovery is via low rank mat...
research
∙
09/30/2019
Biquadratic Tensors, Biquadratic Decomposition and Norms of Biquadratic Tensors
Biquadratic tensors play a central role in many areas of science. Exampl...
research
∙
09/24/2019
Tensor Norm, Cubic Power and Gelfand Limit
We establish two inequalities for the nuclear norm and the spectral norm...
research
∙
09/24/2019
Norm of Tensor Product, Tensor Norm, Cubic Power and Gelfand Limit
We establish two inequalities for the nuclear norm and the spectral norm...
research
∙
09/24/2019
Norm of Tensor Product, Tensor Norm, and Cubic Power of A Third Order Tensor
We establish two inequalities for the nuclear norm and the spectral norm...
research
∙
09/24/2019
Nuclear Norm and Spectral Norm of Tensor Product
We show that the nuclear norm of the tensor product of two tensors is no...
research
∙
09/04/2019